2(x-2)=-13+2x+5-x

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Solution for 2(x-2)=-13+2x+5-x equation:


Simplifying
2(x + -2) = -13 + 2x + 5 + -1x

Reorder the terms:
2(-2 + x) = -13 + 2x + 5 + -1x
(-2 * 2 + x * 2) = -13 + 2x + 5 + -1x
(-4 + 2x) = -13 + 2x + 5 + -1x

Reorder the terms:
-4 + 2x = -13 + 5 + 2x + -1x

Combine like terms: -13 + 5 = -8
-4 + 2x = -8 + 2x + -1x

Combine like terms: 2x + -1x = 1x
-4 + 2x = -8 + 1x

Solving
-4 + 2x = -8 + 1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
-4 + 2x + -1x = -8 + 1x + -1x

Combine like terms: 2x + -1x = 1x
-4 + 1x = -8 + 1x + -1x

Combine like terms: 1x + -1x = 0
-4 + 1x = -8 + 0
-4 + 1x = -8

Add '4' to each side of the equation.
-4 + 4 + 1x = -8 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = -8 + 4
1x = -8 + 4

Combine like terms: -8 + 4 = -4
1x = -4

Divide each side by '1'.
x = -4

Simplifying
x = -4

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